2818882080 has 576 divisors, whose sum is σ = 11771101440. Its totient is φ = 617103360.

The previous prime is 2818882057. The next prime is 2818882097. The reversal of 2818882080 is 802888182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29060592 + ... + 29060688.

It is an arithmetic number, because the mean of its divisors is an integer number (20435940).

Almost surely, 2^2818882080 is an apocalyptic number.

2818882080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2818882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885550720).

2818882080 is an abundant number, since it is smaller than the sum of its proper divisors (8952219360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2818882080 is a wasteful number, since it uses less digits than its factorization.

2818882080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The square root of 2818882080 is about 53093.1453202765. The cubic root of 2818882080 is about 1412.6209286917.

The spelling of 2818882080 in words is "two billion, eight hundred eighteen million, eight hundred eighty-two thousand, eighty".